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Finding the Fourth Proportional to 7,786.44, 11,668.59 and 5,711.22

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Solution

The fourth proportional to 7,786.44, 11,668.59 and 5,711.22 is: 8,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.44 : 11,668.59 = 5,711.22 : x
  2. Step 2: Convert to fraction form
    7,786.44/11,668.59 = 5,711.22/x
  3. Step 3: Cross multiply
    7,786.44x = 11,668.59 × 5,711.22
  4. Step 4: Simplify right side
    7,786.44x = 66,641,884.58
  5. Step 5: Solve for x
    x = 66,641,884.58/7,786.44
  6. Step 6: Final answer
    x = 8,558.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.